Step-by-step explanation:
In order to find the better buy, we must find the cheaper unit price or price per gallon. To find the price per gallon, divide the cost by the number of gallons.
Mary
Mary bought 4 gallons for $11.
The price is $11 and the gallons are 4.
Jill
Jill bought 2.5 gallons for $7.25
The price is $7.25 and the gallons are 2.5
Better buy
Mary paid $2.75 per gallon and Jill paid $2.90 per gallon. 2.75 is less than 2.90, so Mary had the better buy.
Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.
So let x=the number of small cards sold, and 2.5x=the number of large cards sold
The equation is:Total profit=x+(2.5x)
Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:
10,000=2.5x+4(2.5x)
We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.
So he needs to sell 800 small cards.
Multiply that by that 2.5.
And he needs to sell 2000 large cards.
Answer:
The principal is $4,150.
Step-by-step explanation:
We have to find the principal if the maturity value is $4,500 and the simple interest is $350.
<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>
Amount = Principal + Interest
Here, Simple interest = $350
Amount or Maturity value = $4,500
So, the Principal = Amount - Interest
Principal = $4,500 - $350
= $4,150
Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.
We know that x = 30 + y, because the problem says that there are 30 more football players than basketball players.
Each group has 10 more members added: x + 10 and y + 10. We can write x + 10 as 30 + y + 10 or 40 + y.
The ratio (40 + y)/(y + 10) = 3/2. You can cross multiply to get:
80 + 2y = 3y + 30
Combine like terms to get:
y = 50 members on the basketball team. Since there are 30 more members on the football team, you just add 30 to 50 to get x = 80 members on the football team.
